A comparison of methods for modelling the dynamics of a cricket bat

Abstract

The dynamic characteristics of a cricket bat may be quantified using different modelling methods ranging from rigid-body models, flexible beam models, finite element (FE) models and modal models. This paper compares three models of a cricket bat. The first is an experimentally validated FE model. The validation of the FE model is described via correlation and mapping of results from experimental modal testing to FE calculated results via optimization procedures. Using the methodology described here, the actual bat dynamic characteristics can be identified to a reasonable level. The second and third models included a tapered and uniform beam model of the cricket bat. Although not predicting the frequencies of vibration of the higher modes as accurately as the FE model, the uniform beam model was useful as it provided a means for correlation of the taper model for the case when the condition of zero taper is approached. Results from parameter sensitivity analyses with each beam model were used to gain an insight into the influence of geometric and material properties on bat vibration characteristics. The combined use of beam model results and FE modelling was found to be an efficient means for quantifying the effect of material and geometric variations on bat dynamic characteristics. With the experimental, numerical and theoretical techniques presented in this paper, the aim of providing an informed choice for alternative bat designs was achieved.